Two former Parramatta Eels players are accused of harbouring semi-automatic weapons and possessing more than half-a-million dollars in cash after dramatic arrests in Sydney's Centennial Park yesterday.

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There is also a "significant overlap" between device use, with almost a fifth saying they used the computer, smartphone, and tablet in the past week. Almost one third shared a news story via email or social media.

A majority of Australians (53 per cent) don't trust "most news most of the time", but 39 per cent trust the news outlets they personally use, the report found.